IMHO, I think this video is flat out wrong.
I think of the debt as the stealth quantitative easing. It devalues the dollar and is along with the other QE causing inflation. It is not the children that will pay directly. It is anyone holding dollars and the middle class who will pay.
Old people on fixed incomes are the most impacted!

The children will grow up as we did in the 70s where inflation is a way of life. They will be paid in inflated dollars.

The indirect impact on them is that their parents will have less to pass on to them (if any).